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Finding the Fourth Proportional to 3,083.57, 4,254.83 and 1,757.30

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Solution

The fourth proportional to 3,083.57, 4,254.83 and 1,757.30 is: 2,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.57 : 4,254.83 = 1,757.30 : x
  2. Step 2: Convert to fraction form
    3,083.57/4,254.83 = 1,757.30/x
  3. Step 3: Cross multiply
    3,083.57x = 4,254.83 × 1,757.30
  4. Step 4: Simplify right side
    3,083.57x = 7,477,012.76
  5. Step 5: Solve for x
    x = 7,477,012.76/3,083.57
  6. Step 6: Final answer
    x = 2,424.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.